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On the behaviour of Brauer -dimensions under finitely-generated field extensions
The present paper shows that if or , where is the set of prime numbers, then there exist characteristic fields , of Brauer dimension Brd and
infinite absolute Brauer -dimensions abrd, for all not dividing . This ensures that Brd, , for every finitely-generated transcendental
extension . We also prove that each sequence , , satisfying the conditions and , equals the sequence abrd, , for a field of characteristic zero.Comment: LaTeX, 14 pages: published in Journal of Algebra {\bf 428} (2015),
190-204; the abstract in the Metadata updated to fit the one of the pape
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